NUMERICAL INVESTIGATION OF THE WILSON-YUKAWA APPROACH

Results of numerical investigation of the Wilson-Yukawa approach to a lattice regularized chiral gauge theory are presented. SU(2) and U(1) models are considered in the global symmetry limit. Conclusions are drawn from the obtained phase diagram and the lowest lying spectrum of the models and by comparing numerical data with available analytic results. For small Wilson-Yukawa coupling, the globally symmetric models turn out to describe fermions and scalars interacting weakly through an Yukawa interaction and the fermion doublers remain in the physical spectrum, while for relatively strong Wilson-Yukawa coupling the doublers do decouple, but the residual scalar-fermion theory seems to produce, at least in the symmetric phase, only free neutral fermions. From these considerations it is argued that prospect of a lattice regularized chiral gauge theory in this approach is quite unfavorable.